Question

1. solve: $\left(\frac{5}{8}\

ight)^{3}=$
$\frac{125}{512}$
$\frac{15}{24}$
$\frac{25}{64}$

Explanation:

Step1: Apply exponent - rule for a fraction.

$(\frac{a}{b})^n=\frac{a^n}{b^n}$, so $(\frac{5}{8})^3=\frac{5^3}{8^3}$

Step2: Calculate $5^3$ and $8^3$.

$5^3 = 5\times5\times5=125$, $8^3=8\times8\times8 = 512$

Step3: Get the result.

$\frac{5^3}{8^3}=\frac{125}{512}$

Answer:

$\frac{125}{512}$